Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Essential Question:
What methods are there for comparing things?
For each situation, explain how you would use the given information to estimate the total population of fish in the pond. Be sure to include an assumptions you make.
1A) To find out how many fishes there are in the pond, you first have to find the percentage of each sample to the tagged fish and then you find the average of the percentages. After that you multiply the total number of tagged fish and multiply it by 100 and then divide the answer by the average. After you do this step you will get the total number of fish in the pond.
1B)To find out how many fishes are in the pond you multiply 40 which is the tagged fish by 100 and then divide it by 30. This will give you the total number of fish in the pond.
In the problems in this investigation, what data did you need to find the densities of populations? 2) The data that will be needed to find out the densities of a population is the area of land and the population of the species.
What data would you need to estimate the density of deer in a wildlife area?
3A) The data that will be needed to find out the density of deer is the population of the deer and the area of the land that they are living in.
What data would you need to estimate the density of treed in a forest? 3B)The data that you need to know to find out the density of trees in the forest is the population of trees in the forest and the area of land which they are growing in.
Which of the following comparison statements is most like the population density comparisons? Explain your answers. 4A) This statement- People prefer Bolda Cola to Cola Nola by a ratio of 3 to 2 is not related to finding out the population density because its not telling the particular preference in a particular area.
4B) This statement- Mary's car gets 30.5 miles per gallon of gas. This doesn't make any comparison with population density.
4C) The population of California is 28156000 greater than the population of Connecticut. This statement is a type of comparison because if you know the areas of the two states you will be able to find out the population density of each of the states.
Summary
To estimate the total population of something you must find out the average of marked fish of the samples. This will help you to find out the total population of fish. To calculate the density of a population you will need the total population and the total area on which the species live.
Mathematical Reflection 5
AK
January 20,2010The Big Idea
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Essential Question:
What methods are there for comparing things?
For each situation, explain how you would use the given information to estimate the total population of fish in the pond. Be sure to include an assumptions you make.
1A) To find out how many fishes there are in the pond, you first have to find the percentage of each sample to the tagged fish and then you find the average of the percentages. After that you multiply the total number of tagged fish and multiply it by 100 and then divide the answer by the average. After you do this step you will get the total number of fish in the pond.
1B)To find out how many fishes are in the pond you multiply 40 which is the tagged fish by 100 and then divide it by 30. This will give you the total number of fish in the pond.
In the problems in this investigation, what data did you need to find the densities of populations? 2) The data that will be needed to find out the densities of a population is the area of land and the population of the species.
What data would you need to estimate the density of deer in a wildlife area?
3A) The data that will be needed to find out the density of deer is the population of the deer and the area of the land that they are living in.
What data would you need to estimate the density of treed in a forest? 3B)The data that you need to know to find out the density of trees in the forest is the population of trees in the forest and the area of land which they are growing in.
Which of the following comparison statements is most like the population density comparisons? Explain your answers. 4A) This statement- People prefer Bolda Cola to Cola Nola by a ratio of 3 to 2 is not related to finding out the population density because its not telling the particular preference in a particular area.
4B) This statement- Mary's car gets 30.5 miles per gallon of gas. This doesn't make any comparison with population density.
4C) The population of California is 28156000 greater than the population of Connecticut. This statement is a type of comparison because if you know the areas of the two states you will be able to find out the population density of each of the states.
Summary
To estimate the total population of something you must find out the average of marked fish of the samples. This will help you to find out the total population of fish. To calculate the density of a population you will need the total population and the total area on which the species live.